As I mentioned two days ago, Mikrokosmos contains a wealth of compositional ideas. Though not a canon, #29 (book one) Imitáció tükörképben (Imitation Reflected) uses a strict inversion which causes some interesting pitch material. At this point in the book, Bartok is still using five-finger positions. The strict inversion of the first five notes of E major (in the right hand) inverts to the last five (or the first five below the tonic) pitches of E phrygian in the left hand. See the notated examples for clarity.
(click on image to enlarge)
As you can see, using the tonic as the axis of inversion, a major scale will always invert to a phrygian.
For my example, I used the phrygian in the right hand which reflects as major in the left. This time, though I still kept it short and simple, I didn't limit myself to a five finger position. I did, however, contain it within an octave in each hand.
I kept to mostly consonances and approached and left dissonances by step. The result certainly isn't 18th century in style...
(Click on image to enlarge)
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